TSTP Solution File: RNG026-7 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : RNG026-7 : TPTP v8.2.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Jun 24 14:03:05 EDT 2024

% Result   : Unsatisfiable 30.91s 4.63s
% Output   : CNFRefutation 30.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   22 (  22 unt;   0 nHn;   9 RR)
%            Number of literals    :   22 (  21 equ;   8 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :   14 (   3 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-3 aty)
%            Number of variables   :   26 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_51,plain,
    additive_inverse(multiply(X0,X1)) = multiply(X0,additive_inverse(X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse_product2) ).

cnf(c_56,negated_conjecture,
    add(add(associator(multiply(a,b),c,d),associator(a,b,multiply(c,d))),additive_inverse(add(add(associator(a,multiply(b,c),d),multiply(a,associator(b,c,d))),multiply(associator(a,b,c),d)))) != additive_identity,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_teichmuller_identity) ).

cnf(c_57,plain,
    add(additive_identity,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',left_additive_identity) ).

cnf(c_58,plain,
    add(X0,additive_identity) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',right_additive_identity) ).

cnf(c_60,plain,
    multiply(X0,additive_identity) = additive_identity,
    file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',right_multiplicative_zero) ).

cnf(c_61,plain,
    add(additive_inverse(X0),X0) = additive_identity,
    file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',left_additive_inverse) ).

cnf(c_64,plain,
    add(multiply(X0,X1),multiply(X0,X2)) = multiply(X0,add(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',distribute1) ).

cnf(c_65,plain,
    add(multiply(X0,X1),multiply(X2,X1)) = multiply(add(X0,X2),X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',distribute2) ).

cnf(c_66,plain,
    add(X0,X1) = add(X1,X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',commutativity_for_addition) ).

cnf(c_67,plain,
    add(add(X0,X1),X2) = add(X0,add(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',associativity_for_addition) ).

cnf(c_70,plain,
    add(multiply(multiply(X0,X1),X2),additive_inverse(multiply(X0,multiply(X1,X2)))) = associator(X0,X1,X2),
    file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',associator) ).

cnf(c_231,plain,
    add(X0,additive_inverse(X0)) = additive_identity,
    inference(theory_normalisation,[status(thm)],[c_61,c_67,c_66]) ).

cnf(c_235,plain,
    add(multiply(multiply(X0,X1),X2),multiply(X0,multiply(X1,additive_inverse(X2)))) = associator(X0,X1,X2),
    inference(demodulation,[status(thm)],[c_70,c_51]) ).

cnf(c_236,plain,
    add(multiply(multiply(a,b),multiply(c,d)),add(multiply(a,multiply(b,multiply(c,additive_inverse(d)))),add(multiply(multiply(multiply(a,b),c),d),add(multiply(multiply(a,b),multiply(c,additive_inverse(d))),additive_inverse(add(multiply(multiply(a,multiply(b,c)),d),add(multiply(a,multiply(multiply(b,c),additive_inverse(d))),add(multiply(add(multiply(multiply(a,b),c),multiply(a,multiply(b,additive_inverse(c)))),d),multiply(a,add(multiply(multiply(b,c),d),multiply(b,multiply(c,additive_inverse(d))))))))))))) != additive_identity,
    inference(demodulation,[status(thm)],[c_56,c_51,c_66,c_67,c_235]) ).

cnf(c_237,plain,
    add(multiply(multiply(a,b),multiply(c,d)),add(multiply(multiply(multiply(a,b),c),d),add(multiply(a,multiply(b,multiply(c,additive_inverse(d)))),add(multiply(multiply(a,b),multiply(c,additive_inverse(d))),additive_inverse(add(multiply(multiply(a,multiply(b,c)),d),add(multiply(add(multiply(multiply(a,b),c),multiply(a,multiply(b,additive_inverse(c)))),d),add(multiply(a,multiply(multiply(b,c),additive_inverse(d))),multiply(a,add(multiply(multiply(b,c),d),multiply(b,multiply(c,additive_inverse(d))))))))))))) != additive_identity,
    inference(theory_normalisation,[status(thm)],[c_236,c_67,c_66]) ).

cnf(c_238,plain,
    add(multiply(multiply(multiply(a,b),c),d),add(multiply(a,multiply(b,multiply(c,additive_inverse(d)))),add(additive_inverse(add(multiply(multiply(a,multiply(b,c)),d),add(multiply(add(multiply(multiply(a,b),c),multiply(a,multiply(b,additive_inverse(c)))),d),multiply(a,add(add(multiply(multiply(b,c),d),multiply(b,multiply(c,additive_inverse(d)))),multiply(multiply(b,c),additive_inverse(d))))))),multiply(multiply(a,b),add(multiply(c,additive_inverse(d)),multiply(c,d)))))) != additive_identity,
    inference(ac_demodulation,[status(thm)],[c_237,c_64,c_64,c_67,c_66]) ).

cnf(c_239,plain,
    add(multiply(multiply(multiply(a,b),c),d),add(multiply(a,multiply(b,multiply(c,additive_inverse(d)))),add(additive_inverse(add(multiply(a,add(multiply(b,multiply(c,additive_inverse(d))),multiply(multiply(b,c),add(additive_inverse(d),d)))),multiply(add(add(multiply(multiply(a,b),c),multiply(a,multiply(b,additive_inverse(c)))),multiply(a,multiply(b,c))),d))),multiply(multiply(a,b),multiply(c,add(additive_inverse(d),d)))))) != additive_identity,
    inference(ac_demodulation,[status(thm)],[c_238,c_64,c_65,c_64,c_67,c_66]) ).

cnf(c_240,plain,
    add(multiply(multiply(multiply(a,b),c),d),add(multiply(a,multiply(b,multiply(c,additive_inverse(d)))),add(additive_inverse(add(multiply(a,add(multiply(b,multiply(c,additive_inverse(d))),multiply(multiply(b,c),add(additive_inverse(d),d)))),multiply(add(multiply(multiply(a,b),c),multiply(a,add(multiply(b,additive_inverse(c)),multiply(b,c)))),d))),multiply(multiply(a,b),multiply(c,add(additive_inverse(d),d)))))) != additive_identity,
    inference(ac_demodulation,[status(thm)],[c_239,c_64,c_67,c_66]) ).

cnf(c_241,plain,
    add(multiply(multiply(multiply(a,b),c),d),add(multiply(a,multiply(b,multiply(c,additive_inverse(d)))),add(additive_inverse(add(multiply(a,add(multiply(b,multiply(c,additive_inverse(d))),multiply(multiply(b,c),add(additive_inverse(d),d)))),multiply(add(multiply(multiply(a,b),c),multiply(a,multiply(b,add(additive_inverse(c),c)))),d))),multiply(multiply(a,b),multiply(c,add(additive_inverse(d),d)))))) != additive_identity,
    inference(ac_demodulation,[status(thm)],[c_240,c_64,c_67,c_66]) ).

cnf(c_242,plain,
    add(multiply(multiply(multiply(a,b),c),d),add(multiply(a,multiply(b,multiply(c,additive_inverse(d)))),additive_inverse(add(multiply(multiply(multiply(a,b),c),d),multiply(a,multiply(b,multiply(c,additive_inverse(d)))))))) != additive_identity,
    inference(demodulation,[status(thm)],[c_241,c_57,c_58,c_60,c_231,c_66]) ).

cnf(c_344,plain,
    add(X0,add(X1,additive_inverse(add(X0,X1)))) = additive_identity,
    inference(superposition,[status(thm)],[c_231,c_67]) ).

cnf(c_1539,plain,
    $false,
    inference(superposition,[status(thm)],[c_344,c_242]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : RNG026-7 : TPTP v8.2.0. Released v1.0.0.
% 0.03/0.11  % Command  : run_iprover %s %d THM
% 0.10/0.32  % Computer : n016.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 300
% 0.10/0.32  % DateTime : Tue Jun 18 13:26:09 EDT 2024
% 0.10/0.32  % CPUTime  : 
% 0.17/0.44  Running UEQ theorem proving
% 0.17/0.44  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_j12_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 30.91/4.63  % SZS status Started for theBenchmark.p
% 30.91/4.63  % SZS status Unsatisfiable for theBenchmark.p
% 30.91/4.63  
% 30.91/4.63  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 30.91/4.63  
% 30.91/4.63  ------  iProver source info
% 30.91/4.63  
% 30.91/4.63  git: date: 2024-06-12 09:56:46 +0000
% 30.91/4.63  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 30.91/4.63  git: non_committed_changes: false
% 30.91/4.63  
% 30.91/4.63  ------ Parsing...successful
% 30.91/4.63  
% 30.91/4.63  
% 30.91/4.63  
% 30.91/4.63  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 30.91/4.63  
% 30.91/4.63  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 30.91/4.63  
% 30.91/4.63  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 30.91/4.63  ------ Proving...
% 30.91/4.63  ------ Problem Properties 
% 30.91/4.63  
% 30.91/4.63  
% 30.91/4.63  clauses                                 23
% 30.91/4.63  conjectures                             1
% 30.91/4.63  EPR                                     0
% 30.91/4.63  Horn                                    23
% 30.91/4.63  unary                                   23
% 30.91/4.63  binary                                  0
% 30.91/4.63  lits                                    23
% 30.91/4.63  lits eq                                 23
% 30.91/4.63  fd_pure                                 0
% 30.91/4.63  fd_pseudo                               0
% 30.91/4.63  fd_cond                                 0
% 30.91/4.63  fd_pseudo_cond                          0
% 30.91/4.63  AC symbols                              1
% 30.91/4.63  
% 30.91/4.63  ------ Input Options Time Limit: Unbounded
% 30.91/4.63  
% 30.91/4.63  
% 30.91/4.63  ------ 
% 30.91/4.63  Current options:
% 30.91/4.63  ------ 
% 30.91/4.63  
% 30.91/4.63  
% 30.91/4.63  
% 30.91/4.63  
% 30.91/4.63  ------ Proving...
% 30.91/4.63  
% 30.91/4.63  
% 30.91/4.63  % SZS status Unsatisfiable for theBenchmark.p
% 30.91/4.63  
% 30.91/4.63  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 30.91/4.63  
% 30.91/4.63  
%------------------------------------------------------------------------------